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yan [13]
3 years ago
13

PLEASE HELP!! will give brainliest!!

Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

Reason 2 : Vertical opposite angles.

Reason 3 : Vertical opposite angles.

Reason 4 : Using statement 1 and 3.

Reason 5 : Using statement 1 and 2.

Reason 6 : AA property of similarity.

Step-by-step explanation:

Statement 1 : and .

Reason 1 : Given

Statement 2 :

Reason 2 : Vertical opposite angles.

Statement 3 : \angle GEF\cong \angle DEC

Reason 3 : Vertical opposite angles.

Statement 4 : \angle ABC\cong \angle GEF

Reason 4 : Using statement 1 and 3.

Statement 5 : \angle ACB\cong \angle GFE

Reason 5 : Using statement 1 and 2.

Statement 6 : \triangle ABC\cong \triangle GEF

Reason 6 : AA property of similarity.

Hence proved.

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Answer:

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Step-by-step explanation:

The given parameters are;

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By angle addition postulate, we have;

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Therefore, by substituting the known values, we have;

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77° = 9·x + 44° + 6·x + 3° = 15·x + 47°

77° = 15·x + 47°

77° - 47° = 15·x

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x = 30°/15 = 2°

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m∠MON = 6 × 2° + 3° = 12° + 3° = 15°

m∠MON = 15°.

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